9 Nov
2002
9 Nov
'02
5:29 a.m.
At 01:52 PM 11/8/2002 -0800, I wrote:
then the product integral P (A(t)B(t))^dt seems to be the continuously combined rotation (at least according to one way of defining it), and seems to be equal to P (B(t)A(t))^dt.
I also see that this doesn't quite work out according to the way of defining things that is most similar to the ordinary integral (because (AB)^dx is not the same as (A^dx)(B^dx), although it would be awfully nice to have some operator that works like this, for "simultaneous" applications of transformations.